Finding the Third Proportional to 43,201 and 89,849

Step by Step Solution

1. Step 1: Write the proportion equation
   43,201 : 89,849 = 89,849 : x
2. Step 2: Convert to fraction form
   43,201/89,849 = 89,849/x
3. Step 3: Cross multiply
   43,201x = 89,849 × 89,849
4. Step 4: Simplify right side
   43,201x = 8,072,842,801
5. Step 5: Solve for x
   x = 8,072,842,801/43,201
6. Step 6: Final answer
   x = 186,867.04